Results 1  10
of
238,648
Convex Analysis
, 1970
"... In this book we aim to present, in a unified framework, a broad spectrum of mathematical theory that has grown in connection with the study of problems of optimization, equilibrium, control, and stability of linear and nonlinear systems. The title Variational Analysis reflects this breadth. For a lo ..."
Abstract

Cited by 5248 (67 self)
 Add to MetaCart
In this book we aim to present, in a unified framework, a broad spectrum of mathematical theory that has grown in connection with the study of problems of optimization, equilibrium, control, and stability of linear and nonlinear systems. The title Variational Analysis reflects this breadth. For a
Algorithms in Discrete Convex Analysis
 Math. Programming
, 2000
"... this paper is to describe the f#eA damental results on M and Lconvex f#24L2A+ with special emphasis on algorithmic aspects. ..."
Abstract

Cited by 156 (34 self)
 Add to MetaCart
this paper is to describe the f#eA damental results on M and Lconvex f#24L2A+ with special emphasis on algorithmic aspects.
Convex analysis on the Hermitian matrices
 SIAM Journal on Optimization
, 1996
"... There is growing interest in optimization problems with real symmetric matrices as variables. Generally the matrix functions involved are spectral: they depend only on the eigenvalues of the matrix. It is known that convex spectral functions can be characterized exactly as symmetric convex functions ..."
Abstract

Cited by 60 (19 self)
 Add to MetaCart
There is growing interest in optimization problems with real symmetric matrices as variables. Generally the matrix functions involved are spectral: they depend only on the eigenvalues of the matrix. It is known that convex spectral functions can be characterized exactly as symmetric convex
Variational methods in convex analysis
 JOGO
, 2004
"... Abstract. We use variational methods to provide a concise development of a number of basic results in convex and functional analysis. This illuminates the parallels between convex analysis and smooth subdifferential theory. 1. The purpose of this note is to give a concise and explicit account of the ..."
Abstract

Cited by 1 (1 self)
 Add to MetaCart
Abstract. We use variational methods to provide a concise development of a number of basic results in convex and functional analysis. This illuminates the parallels between convex analysis and smooth subdifferential theory. 1. The purpose of this note is to give a concise and explicit account
THE CONVEX ANALYSIS OF RANDOM VARIABLES
"... Any realvalued random variable induces a probability distribution on the real line which can be described by a cumulative distribution function. When the vertical gaps that may occur in the graph of that function are filled in, one gets a maximal monotone relation which describes the random variabl ..."
Abstract
 Add to MetaCart
variable by its characteristic curve. Maximal monotone relations in the plane are known in convex analysis to correspond to the subdifferentials of the closed proper convex functions on the real line. Here that connection is developed in terms of what those convex functions and their conjugates say about
Just Relax: Convex Programming Methods for Identifying Sparse Signals in Noise
, 2006
"... This paper studies a difficult and fundamental problem that arises throughout electrical engineering, applied mathematics, and statistics. Suppose that one forms a short linear combination of elementary signals drawn from a large, fixed collection. Given an observation of the linear combination that ..."
Abstract

Cited by 478 (2 self)
 Add to MetaCart
that convex relaxation succeeds. As evidence of the broad impact of these results, the paper describes how convex relaxation can be used for several concrete signal recovery problems. It also describes applications to channel coding, linear regression, and numerical analysis.
CONVEX ANALYSIS AND SPECTRAL ANALYSIS OF TIMED EVENT GRAPHS
, 2016
"... Convex analysis and spectral analysis of timed event graphs ..."
CONVEX ANALYSIS AND FINANCIAL EQUILIBRIUM
"... Convexity has long had an important role in economic theory, but some recent developments have featured it all the more in problems of equilibrium. Here the tools of convex analysis are applied to a basic model of incomplete financial markets in which assets are traded and money can be lent or borro ..."
Abstract
 Add to MetaCart
Convexity has long had an important role in economic theory, but some recent developments have featured it all the more in problems of equilibrium. Here the tools of convex analysis are applied to a basic model of incomplete financial markets in which assets are traded and money can be lent
Results 1  10
of
238,648